Fluctuations in finite critical and turbulent systems
Statistical Mechanics
2009-10-31 v2 Pattern Formation and Solitons
Abstract
We show that hyperscaling and finite-size scaling imply that the probability distribution of the order parameter in finite size critical systems exhibit data collapse. We consider the examples of equilibrium critical systems, and a statistical model of ecology. We explain recent observations that the probability distribution of turbulent power fluctuations in closed flows is the same as that of the harmonic 2DXY model.
Cite
@article{arxiv.cond-mat/0008243,
title = {Fluctuations in finite critical and turbulent systems},
author = {Vivek Aji and Nigel Goldenfeld},
journal= {arXiv preprint arXiv:cond-mat/0008243},
year = {2009}
}
Comments
4 pages, 2 figures, Comment on dynamic universality class revised